What is the probability an individual student likes between 3 and 7 songs from Aesop Rock?
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Answer:
Step-by-step explanation:
This kinda looks like the limiting definition of a derivative.
Anyway, what we are doing with the f(2 + h) is evaluating f(x) with 2+h in place for x. That looks like this:
f(2 + h) = 2(2 + h) - 3 which simplifies to
f(2 + h) = 4 + 2h - 3 which simplifies to
2h + 1
From that we are subtracting f(2). What we are doing with that is evaluating f(x) with 2 in place for x. That looks like this:
f(2) = 2(2) - 3 which simplifies to
f(2) = 4 - 3 which simplifies to
f(2) = 1. Now put those together over h to get:
Y = -2x - 3
First make a table, then start inserting the x's you choose and figure out the y's.
x y
----------------------
-2 -2(-2) -3
4 - 3
1
-----------------------
-1 -2(-1) - 3
2 - 3
-1
------------------------
0 -2(0) - 3
0 - 3
-3
-------------------------
1 -2(1) - 3
-2 - 3
-5
--------------------------
2 -2(2) - 3
-4 - 3
-7
--------------------------
Now you can plot the points into a graph.
(-2, 1), (-1, -1), (0, -3), (1, -5), (2, -7)
First make a table, then start inserting the x's you choose and figure out the y's.
x y
----------------------
-2 -2(-2) -3
4 - 3
1
-----------------------
-1 -2(-1) - 3
2 - 3
-1
------------------------
0 -2(0) - 3
0 - 3
-3
-------------------------
1 -2(1) - 3
-2 - 3
-5
--------------------------
2 -2(2) - 3
-4 - 3
-7
--------------------------
Now you can plot the points into a graph.
(-2, 1), (-1, -1), (0, -3), (1, -5), (2, -7)